A construction of Berezin--Toeplitz operators via Schrödinger operators and the probabilistic representation of Berezin--Toeplitz semigroups based on planar Brownian motion

DOI10.1023/A:1020929223949zbMath1016.81037MaRDI QIDQ1863970

Bernhard G. Bodmann

Publication date: 12 March 2003

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

zbMATH Keywords

Schrödinger operatorssemigroupsweighted Bergman spacesBerezin-Toeplitz operatorsFeynman-Kac-Itô formula

Mathematics Subject Classification ID

Brownian motion (60J65) Applications of operator theory in the physical sciences (47N50) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Quantum stochastic calculus (81S25) Schrödinger and Feynman-Kac semigroups (47D08)

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